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Finding the Third Proportional to 157,268 and 342,184

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Solution

The third proportional to 157,268 and 342,184 is: 744,524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,268 : 342,184 = 342,184 : x
  2. Step 2: Convert to fraction form
    157,268/342,184 = 342,184/x
  3. Step 3: Cross multiply
    157,268x = 342,184 × 342,184
  4. Step 4: Simplify right side
    157,268x = 117,089,889,856
  5. Step 5: Solve for x
    x = 117,089,889,856/157,268
  6. Step 6: Final answer
    x = 744,524.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.